Example Problems

1) An insurance company is interested in how distractions influence driving ability.  They test 5 people under three different conditions (control, speeding, and texting), and measure the number of mistakes each person makes.  Do distractions influence driving ability?

Participant Control Speeding Texting
Shquia 2 4 6
Isabelle 1 3 4
Rashad 0 3 3
Terence 2 2 2
Aneese 4 5 5
Muhammed 3 4 5

Video solution

slides for one way within subjects ANOVA demo 1

2) A travel company would like to know whether to market all its travel destinations equally, or if there is a difference in how much people want to travel different places.  They ask four people how much they would like to travel to Europe, Asia, Africa, and South America.

Participant Europe Asia South America Africa
Kwon 5 4 7 6
Sandy 2 6 5 7
Lee 1 6 3 4
Jon 2 4 8 3

Video solution

slides for one way within subjects ANOVA demo 2

Answers

1) There is a difference in how many errors people make when driving under control conditions, speeding, and texting (F (2,10) = 11.20, p < 0.05, eta squared = 0.36).

2) There is no difference in how much people want to go on vacation to Europe, Asia, South America, or Africa(F (3,9) = 2.53, p > 0.05, eta squared = 0.39).

More videos demonstrating hand calculations

 

Video explaining how to complete a one way within subjects ANOVA source table

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